Monte Carlo Study of the Random Potts Model

  • Y. Okabe
  • M. Kikuchi
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 70)


The three-state Potts model in three dimensions is investigated by use of a Monte Carlo simulation. The order-parameter distribution is examined to clarify the order of the phase transition. The Monte Carlo renormalization group method and the finite-size scaling analysis are used to study the critical properties of the antiferromagnetic Potts model. We also treat the system of a random mixture of the ferromagnetic and antiferromagnetic couplings, and discuss the phase diagram of this model.


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  1. [1]
    J.-S. Wang, R.H. Swendsen and R. Koteckÿ, Phys. Rev. B42, 2465 (1990).CrossRefADSGoogle Scholar
  2. [2]
    M. Scheucher, J.D. Reger, K. Binder and A.P. Young, Phys. Rev. B42, 6881 (1990).CrossRefADSGoogle Scholar
  3. [3]
    M. Aizenman and J. Wehr, Phys. Rev. Lett. 62, 2503 (1989).CrossRefADSMathSciNetGoogle Scholar
  4. [4]
    K. Hui and N. Berker, Phys. Rev. Lett. 62, 2507 (1989).CrossRefADSGoogle Scholar
  5. [5]
    M. Kikuchi and Y. Okabe, Prog. Theor. Phys. 75, 192 (1986);CrossRefADSGoogle Scholar
  6. M. Kikuchi and Y. Okabe, Prog. Theor. Phys. 78, 540 (1987);CrossRefADSGoogle Scholar
  7. M. Kikuchi and Y. Okabe, Phys. Rev. B35, 5382 (1987).CrossRefADSGoogle Scholar
  8. [6]
    M. Kikuchi, Prog. Theor. Phys. Suppl. 101, 557 (1990).CrossRefADSGoogle Scholar
  9. [7]
    G. Bahnot, D. Duke and R. Salvador, Phys. Rev. B33, 7841 (1986).CrossRefADSGoogle Scholar
  10. [8]
    M. Kikuchi and Y. Okabe, J. Magn. Magn. Mat., (1991), to be published.Google Scholar
  11. [9]
    M. Fukugita, H. Mino, M. Okawa and A. Ukawa, J. Phys. A23, L561 (1990).CrossRefADSGoogle Scholar
  12. [10]
    I. Ono, Prog. Theor. Phys. Suppl. 87, 102 (1986).CrossRefADSGoogle Scholar
  13. [11]
    Y. Ueno, G. Sun and I. Ono, J. Phys. Soc. Jpn. 58, 1162 (1989).CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Y. Okabe
    • 1
  • M. Kikuchi
    • 2
  1. 1.Department of PhysicsTohoku UniversitySendai 980Japan
  2. 2.Department of PhysicsOsaka UniversityToyonaka 560Japan

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